# Generalized results on the role of new-time transformations in finite-dimensional Poisson systems

@article{HernndezBermejo2010GeneralizedRO, title={Generalized results on the role of new-time transformations in finite-dimensional Poisson systems}, author={Benito Hern{\'a}ndez-Bermejo}, journal={Physics Letters A}, year={2010}, volume={374}, pages={836-841} }

## 6 Citations

### Generalization of the separation of variables in the Jacobi identities for finite-dimensional Poisson systems

- Mathematics
- 2011

### Congruence method for global Darboux reduction of finite-dimensional Poisson systems

- MathematicsJournal of Mathematical Physics
- 2018

A new procedure for the global construction of the Casimir invariants and Darboux canonical form for finite-dimensional Poisson systems is developed. This approach is based on the concept of matrix…

### Inverse Jacobi multiplier as a link between conservative systems and Poisson structures

- Mathematics
- 2017

Some aspects of the relationship between conservativeness of a dynamical system (namely the preservation of a finite measure) and the existence of a Poisson structure for that system are analyzed.…

### Perturbed rank 2 Poisson systems and periodic orbits on Casimir invariant manifolds

- Mathematics
- 2020

A class of n-dimensional Poisson systems reducible to an unperturbed harmonic oscillator shall be considered. In such case, perturbations leaving invariant a given symplectic leaf shall be…

## References

SHOWING 1-10 OF 21 REFERENCES

### Characterization, global analysis and integrability of a family of Poisson structures

- Mathematics
- 2008

### An integrable family of Poisson systems: Characterization and global analysis

- MathematicsAppl. Math. Lett.
- 2009

### Some Bi-Hamiltonian Equations in $R^3$

- Mathematics
- 2003

Hamiltonian formulation of N=3 systems is considered in general. The Jacobi equation is solved in three classes. Compatible Poisson structures in these classes are determined and explicitly given.…

### Generalization of solutions of the Jacobi PDEs associated to time reparametrizations of Poisson systems

- Mathematics
- 2008

### Introduction to Hamiltonian Dynamical Systems and the N-Body Problem

- Mathematics
- 1991

This book gives a systematic grounding in the theory of Hamiltonian differential equations from a dynamical systems point of view. It develops a solid foundation for students to read some of the…

### The Painlevé property and singularity analysis of integrable and non-integrable systems

- Mathematics
- 1989

### Integrability and Nonintegrability of Dynamical Systems

- Mathematics
- 2001

Integrability - an algebraic approach integrability - an analytic approach polynomial and quasi-polynomial vector fields nonintegrability Hamiltonian systems nearly integrable dynamical systems open…

### New solutions of the Jacobi equations for three-dimensional Poisson structures

- Mathematics
- 2001

A systematic investigation of the skew-symmetric solutions of the three-dimensional Jacobi equations is presented. As a result, three disjoint and complementary new families of solutions are…